In the mathematical area of graph theory, a chordal graph is one in which all cycles of four or more vertices have a chord, which is an edge that is not part of the cycle but connects two vertices of the cycle. Equivalently, every induced cycle in the graph should have exactly three vertices.
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The chordalityof a graph G = (V, E) is defined as the minimum k such that we can write E = El r l fl Ek with each (V, €;) a chordal graph.
Jul 10, 2018 · In this work we investigate the chordality of squares and line graph squares of graphs. We prove a sufficient condition for the chordality ...
(2 ⇒ 3:) Any induced subgraph of a chordal graph is chordal, because any cycle in G has a chord in it, which will be preserved in any induced subgraphs ...
Aug 2, 2024 · A graph G is chordal if each cycle of G of 4 or more vertices have a chord. This can be checked by finding cycles of length four or more and ...
A chordal graph is a simple graph in which every graph cycle of length four and greater has a cycle chord. In other words, a chordal graph is a graph ...
A graph G is chordal if every minimal cutset in every induced subgraph of G is a clique. A graph G is chordal if it is the intersection graph of subtrees of ...
A graph is chordal if and only if it has a perfect elimination ordering. For notational convenience, ChordalGraph orients the edges of the graph according to ...
A graph is chordal (or triangulated) if each of its cycles of four or more nodes has a chord, which is an edge joining two nodes that are not adjacent in the ...
Chordal graphs play a central role in techniques for exploiting spar- sity in large semidefinite optimization problems and in related con-.